Given numbers are 242,438,296,614,452

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 242,438,296,614,452 is 272105935464.

Find LCM of 242,438,296,614,452 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 121 x 219 x 74 x 307 x 113 = 272105935464

Therefore, the lowest common multiple of 242,438,296,614,452 is 272105935464.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

242 x 438 x 296 x 614 x 452 = 8707389934848

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

242 : 1, 2, 11, 22, 121, 242

438 : 1, 2, 3, 6, 73, 146, 219, 438

296 : 1, 2, 4, 8, 37, 74, 148, 296

614 : 1, 2, 307, 614

452 : 1, 2, 4, 113, 226, 452

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,438,296,614,452, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

438:2x 3x 73

296:2x 2x 2x 37

614:2x 307

452:2x 2x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 8707389934848/(2x16)

LCM = 8707389934848/32

LCM = 272105935464

Thus, we can understand that the LCM of 242,438,296,614,452 is 272105935464.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 438, 333, 844, 762, 391
• LCM of 117, 202, 805, 173, 620
• LCM of 945, 660, 870, 895, 655
• LCM of 244, 284, 293, 591, 604
• LCM of 860, 487, 156, 475, 201

1. What is the LCM of 242, 438, 296, 614, 452?

Answer: LCM of 242, 438, 296, 614, 452 is 272105935464.

2. How to calculate the LCM of 242, 438, 296, 614, 452?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 242, 438, 296, 614, 452.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.